Solved: Molten sodium chloride is to be used as a

Chapter 8, Problem 8.50

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Molten sodium chloride is to be used as a constant-temperature bath for a high-temperature chemical reactor. Two hundred kilograms of solid NaCl at 300 K is charged into an insulated vessel, and a 3000 kW electrical heater is turned on, raising the salt to its melting point of 1073 K and melting it at a constant pressure of 1 atm.

(a) The heat capacity \((C_p)\) of solid NaCl is \(50.41 \mathrm{~J} /(\mathrm{mol} \cdot \mathrm{K})\) at T = 300 K, and \(53.94 \mathrm{~J} /(\mathrm{mol} \cdot \mathrm{K})\) at T = 500 K, and the heat of fusion of NaCl at 1073 K is 30.21 kJ/mol. Use these data to determine a linear expression for \(C_p\)(T) and to calculate \(\Delta \hat{H}(\mathrm{~kJ} / \mathrm{mol})\) for the transition of NaCl from a solid at 300 K to a liquid at 1073 K.

(b) Write and solve the energy balance equation for this closed system isobaric process to determine the required heat input in kilojoules.

(c) If 85% of the full power of 3000 kW goes into heating and melting the salt, how long does the process take?

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